C₄₇²⋊C₉ #34090983

order	19881
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₄₇

Aliases

C₄₇²⋊C₉

C₄₇² ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₄₇²⋊C₃
commutator, hypocenter	C₄₇²	C₉
Fitting, socle, prime radical, cosocle	C₃×C₄₇²	C₃
LCS	G ▷ C₄₇²
UCS	C₁ ◁ C₃

38 conjugacy classes of subgroups.

μ_t(G) = 423

Polycyclic presentation:

3,47^2,3|a^3=d,b^a=b^26c^44,c^a=b^15c^20

2217 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19881, 4);